Model Mathematics

Component: input_values

Component: state_variables

Component: parameter_values

Component: environment

Component: capillary_dynamics

Component: capillary_membrane_dynamics

Component: capillary_pressure

PC=RVS⁢1.7⁢BFN+PVS

Component: rate_of_fluid_out_of_capillaries

VTC=PC-PPC-PGH+PTC⁢CFC+VTCPL

Component: plasma_volume_and_protein

Component: plasma_volume

VPD=VTL-VTC-DFP+TRPL ddtimeVP=VPD

Component: plasma_protein_concentration

CPP=PRPVP

Component: protein_destruction_and_formation

CPPD=0ifCPP-CPR<0CPP-CPRotherwise DLP=LPPR-CPPDLPDE⁢LPK

Component: plasma_leakage

PRCD=0ifPC-PCR<0PC-PCRotherwise VTCPL=PRCD⁢CPKPCE

Component: protein_influx_into_interstitium

DPC=VTCPL⁢CPP+CPP-CPI⁢0.00104

Component: total_plasma_protein

DPP=DLP+DPL-DPC-PPD+TRPL⁢72 ddtimePRP=DPP

Component: plasma_colloid_osmotic_pressure

PPC=0.28⁢CPP+0.0019⁢CPP2

Component: systemic_tissue_fluid_volume_and_protein

Component: total_systemic_fluid_volume

VTS=VEC-VP-VPF

Component: interstitial_fluid_volume

ddtimeVTS2=VTS-12⁢TSSLML-VTS2⁢TSSLTC VTS1=VTS-VTS2

Component: total_interstitial_protein

DPI=DPC-DPL ddtimeTSP=DPI

Component: interstitial_protein_concentration

CPI=TSPVTS

Component: interstitial_colloid_osmotic_pressure

PTCPR=0.28⁢CPI+0.0019⁢CPI2

Component: lymph_protein_flow

DPL=CPI⁢VTL

Component: tissue_gel_and_fluid_and_lymph_flow

Component: hydrostatic_pressure_of_tissue_gel

CHY=HYLVTS5CMPTSS PGH=CHY⁢PGHF+PTT

Component: total_osmotic_pressure_of_tissue_gel

POSHYL=CHY⁢2 PTC=POSHYL⁢PTCPR⁢GCOPF

Component: total_tissue_pressure

PTT=VTS1-VTSFVTSF2⁢1

Component: interstial_free_fluid_pressure

PIF=PGH-POSHYL

Component: interstitial_solid_tissue_pressure

PTS=PTT-PIF

Component: lymph_flow

PLD1=PIF+PLDF-PTT PLD=7ifPLD1>7PLD1otherwise VTL=0ifPLD<0PLD⁢0.02otherwise

Component: interstitial_gel_volume

VG=0ifVTS≦00+11.4-0⁢VTS-012-0ifVTS>0∧VTS≦1211.4+14-11.4⁢VTS-1215-12ifVTS>12∧VTS≦1514+16-14⁢VTS-1518-15ifVTS>15∧VTS≦1816+17.3-16⁢VTS-1821-18ifVTS>18∧VTS≦2117.3+18-17.3⁢VTS-2124-21ifVTS>21∧VTS≦2418otherwise

Component: interstitial_free_fluid_volume

VIF=VTS-VG

Component: state_variables

Component: parameter_values